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Finding the Fourth Proportional to 23,095.50, 34,654.80 and 8,307.74

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Solution

The fourth proportional to 23,095.50, 34,654.80 and 8,307.74 is: 12,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,095.50 : 34,654.80 = 8,307.74 : x
  2. Step 2: Convert to fraction form
    23,095.50/34,654.80 = 8,307.74/x
  3. Step 3: Cross multiply
    23,095.50x = 34,654.80 × 8,307.74
  4. Step 4: Simplify right side
    23,095.50x = 287,903,068.15
  5. Step 5: Solve for x
    x = 287,903,068.15/23,095.50
  6. Step 6: Final answer
    x = 12,465.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.